Preliminary group classification for the nonlinear wave equation
β Scribed by Lina Song; Hongqing Zhang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 575 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
Vortex dynamics for the nonlinear wave equation is a typical model of the "particle and field" theories of classical physics. The formal derivation of the dynamical law was done by J. Neu. He also made an interesting connection between vortex dynamics and the Dirac theory of electrons. Here we give
The present paper solves the problem of the group classification of the general Burgers' equation u t ΒΌ f Γ°x; uΓu 2 x ΓΎ gΓ°x; uΓu xx , where f and g are arbitrary smooth functions of the variable x and u, by using Lie method. The paper is one of the few applications of an algebraic approach to the p